If this were your situation, aside from GTFO of /r9k/, would

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If this were your situation, aside from GTFO of /r9k/, would you break up with your girlfriend or what?

>Girlfriend of three weeks texts "I saw this really cute swiping app on TV. I'm so glad that I haven't felt the need to use these apps since we started dating. I haven't even checked it out yet, your support means so much to me."
>I decide to be chill about the "yet," even though it's a big red flag, and respond "I'm glad you feel supported and hopefully you don't need to check the app out at all. I'd rather be heartbroken and hurt than cheated on."
>Few hours later she responds "I was just thinking how i love that you didn't get upset with me for saying this. But I've cheated before, and so it's something I'm wary of. I have had problems with instant gratification, but I love you."

So I'm thinking of being clear and responding "If you cheat on me, I will leave you." But it's precisely because I've been more gentle that she's been honest about these things. I'm wondering, do I enjoy the sex and all while it last, keep chill, and leave her if she admits to cheating. Or do I give her that ultimatum, which may result in her no longer being honest if she does cheat? For all I know she has.